SOLUTION: divide rs91000 among three brothers in such a way that the eldest gets twice as much as the youngest and 3/2times as much as the middle brother find the share of the eldest brother

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Question 798032: divide rs91000 among three brothers in such a way that the eldest gets twice as much as the youngest and 3/2times as much as the middle brother find the share of the eldest brother



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Focus on the fractions. You are dividing whole 1 quantity of the "rs".
x for youngest
y for middle aged
z for eldest

z=2x and z=%283%2F2%29y;

x%2By%2Bz=1


Three equations in three unknown variables. Solve any way you want.

A method can be: Use the first equation for z and substitute into the other two equations.
2x=%283%2F2%29y and x%2By%2B2x=1;
y=%282%2F3%292x and 3x%2By=1;
y=%284%2F3%29x and 3x%2By=1.
Take this formula for y and substitute into the other equation;
3x%2B%284%2F3%29x=1
solve for x,
9x%2F3%2B4x%2F3=1
13x%2F3=1
highlight%28x=3%2F13%29

Going back to the original first two equations, you would use x to find z, and use z to find y.